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Finding the Third Proportional to 8,424,138 and 18,193,196

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Solution

The third proportional to 8,424,138 and 18,193,196 is: 39,290,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424,138 : 18,193,196 = 18,193,196 : x
  2. Step 2: Convert to fraction form
    8,424,138/18,193,196 = 18,193,196/x
  3. Step 3: Cross multiply
    8,424,138x = 18,193,196 × 18,193,196
  4. Step 4: Simplify right side
    8,424,138x = 330,992,380,694,416
  5. Step 5: Solve for x
    x = 330,992,380,694,416/8,424,138
  6. Step 6: Final answer
    x = 39,290,949.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.